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Finding the Fourth Proportional to 314,774.85, 471,987.30 and 127,567.65

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Solution

The fourth proportional to 314,774.85, 471,987.30 and 127,567.65 is: 191,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.85 : 471,987.30 = 127,567.65 : x
  2. Step 2: Convert to fraction form
    314,774.85/471,987.30 = 127,567.65/x
  3. Step 3: Cross multiply
    314,774.85x = 471,987.30 × 127,567.65
  4. Step 4: Simplify right side
    314,774.85x = 60,210,310,690.85
  5. Step 5: Solve for x
    x = 60,210,310,690.85/314,774.85
  6. Step 6: Final answer
    x = 191,280.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.